Applying Bond Graphs for Modelling the Manufacturing Dynamics

Abstract Supply chain dynamics and execution control seem not to receive as much attention as the domain of supply chain planning by means of static optimization models. The dynamics of manufacturing systems also deserves attention, since they are the fundamental pieces of a supply chain. In this paper, a dynamic model for the production control of a multi-product manufacturing system is developed using the Bond Graph modeling methodology. The proposed model is applied to depict the dynamics of a real job shop production system of propylene bags, where the control objective is to adjust the processing frequency of the machines to attend the demands of the products, while keeping the work in process at the desired levels. Exploratory simulations were carried out, and the preliminary results showed that the system could be autonomously controlled. Some advantages of the Bond Graph methodology are also highlighted.

[1]  Marcelo Seido Nagano,et al.  A Review on the Dynamic Decision Models for Manufacturing and Supply Chain , 2015 .

[2]  Michel Ferney.  Modelling and controlling product manufacturing systems using bond-graphs and state equations: Continuous systems and discrete systems which can be represented by continuous models , 2000 .

[3]  B. H. Sader,et al.  Deterministic and stochastic dynamic modeling of continuous manufacturing systems using analogies to electrical systems , 2003, Proceedings of the 2003 Winter Simulation Conference, 2003..

[4]  Jean-Marie Proth.  Scheduling: New trends in industrial environment , 2006 .

[5]  Ramakrishna Desiraju,et al.  Performance Analysis of Flexible Manufacturing Systems with a Single Discrete Material-Handling Device , 1997 .

[6]  Jean-Claude Hennet.  A globally optimal local inventory control policy for multistage supply chains , 2009 .

[7]  Alan S. Perelson,et al.  System Dynamics: A Unified Approach , 1976, IEEE Transactions on Systems, Man, and Cybernetics.

[8]  Christos D. Tarantilis,et al.  Dynamic modeling and control of supply chain systems: A review , 2008, Comput. Oper. Res..

[9]  Boris V. Sokolov,et al.  Control and system-theoretic identification of the supply chain dynamics domain for planning, analysis and adaptation of performance under uncertainty , 2013, Eur. J. Oper. Res..

[10]  Alexandre Dolgui,et al.  ON APPLICABILITY OF OPTIMAL CONTROL THEORY TO ADAPTIVE SUPPLY CHAIN PLANNING AND SCHEDULING , 2011 .

[11]  Marcelo Seido Nagano,et al.  Dynamic Models for Production Control and Scheduling: A Brief Review , 2013, 2013 12th Mexican International Conference on Artificial Intelligence.

[12]  Denis Royston Towill,et al.  Dynamic analysis of an inventory and order based production control system , 1982 .

[13]  B. Besombes,et al.  Bond-graphs for modelling of manufacturing systems , 1993, Proceedings of IEEE Systems Man and Cybernetics Conference - SMC.

[14]  M. Ortega,et al.  Control theory applications to the production–inventory problem: a review , 2004 .

[15]  R. W. Grubbström,et al.  Intertemporal generalization of the relationship between material requirements planning and input-output analysis , 1992 .